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Simplifying 0 = 2x3y + 6x2y2 Reorder the terms: 0 = 6x2y2 + 2x3y Solving 0 = 6x2y2 + 2x3y Solving for variable 'x'. Remove the zero: -6x2y2 + -2x3y = 6x2y2 + 2x3y + -6x2y2 + -2x3y Reorder the terms: -6x2y2 + -2x3y = 6x2y2 + -6x2y2 + 2x3y + -2x3y Combine like terms: 6x2y2 + -6x2y2 = 0 -6x2y2 + -2x3y = 0 + 2x3y + -2x3y -6x2y2 + -2x3y = 2x3y + -2x3y Combine like terms: 2x3y + -2x3y = 0 -6x2y2 + -2x3y = 0 Factor out the Greatest Common Factor (GCF), '-2x2y'. -2x2y(3y + x) = 0 Ignore the factor -2.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3y + x)' equal to zero and attempt to solve: Simplifying 3y + x = 0 Reorder the terms: x + 3y = 0 Solving x + 3y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 x + 0 = 0 + -3y x = 0 + -3y Remove the zero: x = -3y Simplifying x = -3ySolution
x = {-3y}
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